Geometry - Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What happens to a point (x, y) when it is reflected over the y-axis?

Back

The new point will be (-x, y).

Front

What is the result of rotating a point 180° about the origin?

Back

The new point will be (-x, -y).

Front

How do you perform a translation of a point?

Back

To translate a point, you add or subtract values from its coordinates.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape.

Front

What does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means the shape is enlarged to twice its original size.

Front

What does a scale factor of 1/2 mean in dilation?

Back

A scale factor of 1/2 means the shape is reduced to half its original size.